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Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application

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  • Tajudeen, M. Mubeen
  • Ali, M. Syed
  • Thakur, Ganesh Kumar
  • Priya, Bandana
  • Perumal, R.

Abstract

The non-fragile control issue of discrete-time conic-type nonlinear Markov jump systems under deception attacks has been investigated using an event-triggered method. The nonlinear terms satisfy the conic-type nonlinear constraint condition that lies in a known hypersphere with an uncertain center is employed. The deception attack may obstruct normal communication in an effort to obtain confidential information. In addition, a non-fragile event-triggered controller is suggested to further conserve communication resources. As a stochastic process, a deception attack is manageable by the established controller. Also, by choosing an appropriate Lyapunov-Krasovskii functional, a set of necessary conditions is found in terms of linear matrix inequalities (LMIs) that guarantee mean square stability of the discrete-time conic-type nonlinear Markov jump system in the presence of deception attacks. Finally, the proposed non-fragile event-triggered control techniques is validated with a DC-DC motor application system and another numerical example.

Suggested Citation

  • Tajudeen, M. Mubeen & Ali, M. Syed & Thakur, Ganesh Kumar & Priya, Bandana & Perumal, R., 2025. "Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 209-225.
  • Handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:209-225
    DOI: 10.1016/j.matcom.2024.08.007
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    References listed on IDEAS

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    1. Liu, Yanhong & Zhi, Huimin & Wei, Jumei & Zhu, Xunlin & Zhu, Quanxin, 2020. "Event-triggered control for linear continuous switched singular systems," Applied Mathematics and Computation, Elsevier, vol. 374(C).
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